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52352466425325 = 33521123929501411
BaseRepresentation
bin10111110011101010000100…
…01010100001010111101101
320212100211212101202200222000
423321311002022201113231
523330220322401102300
6303202220245042513
714012224631205633
oct1371650212412755
9225324771680860
1052352466425325
1115754613520060
125a563130b6439
132329a7c82b021
14ccdc3131b353
1560bc1b488c00
hex2f9d422a15ed

52352466425325 has 96 divisors (see below), whose sum is σ = 105355442534400. Its totient is φ = 25276808088000.

The previous prime is 52352466425323. The next prime is 52352466425327.

52352466425325 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 2 + 4 + 66 + 42 + 532 + 5 = 666.

52352466425325 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52352466425323) and next prime (52352466425327).

It is not a de Polignac number, because 52352466425325 - 21 = 52352466425323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52352466425321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12976131 + ... + 16525280.

It is an arithmetic number, because the mean of its divisors is an integer number (1097452526400).

Almost surely, 252352466425325 is an apocalyptic number.

52352466425325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52352466425325 is an abundant number, since it is smaller than the sum of its proper divisors (53002976109075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52352466425325 is a wasteful number, since it uses less digits than its factorization.

52352466425325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29501680 (or 29501669 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 52352466425325 in words is "fifty-two trillion, three hundred fifty-two billion, four hundred sixty-six million, four hundred twenty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 239 275 297 495 675 717 825 1195 1485 2151 2475 2629 3585 5975 6453 7425 7887 10755 13145 17925 23661 32265 39435 53775 65725 70983 118305 161325 197175 354915 591525 1774575 29501411 88504233 147507055 265512699 324515521 442521165 737535275 796538097 973546563 1327563495 1622577605 2212605825 2920639689 3982690485 4867732815 6637817475 7050837229 8112888025 8761919067 14603198445 19913452425 21152511687 24338664075 35254186145 43809595335 63457535061 73015992225 77559209519 105762558435 176270930725 190372605183 219047976675 232677628557 317287675305 387796047595 528812792175 698032885671 951863025915 1163388142785 1586438376525 1938980237975 2094098657013 3490164428355 4759315129575 5816940713925 10470493285065 17450822141775 52352466425325